The time it takes me to wash the dishes is uniformly distributed between 5 minutes and 12 minutes. What is the probability that washing dishes tonight will take me between 6 and 8 minutes

Answers

Answer 1

Answer:

0.2857

Step-by-step explanation:

We define the time it takes to do these dishes to be uniformly distributed between the time 5 minutes and 12 minutes.

a = 5 minutes

b = 12 minutes

Probability of tonight's dish washing being between 6 and 8 minutes

P(6<X<8)

= 8-6/b-a

= 2/12-5

= 2/7

= 0.2857

The probability it will be better 6 and 8 minutes is therefore 0.2857


Related Questions

Which graph has the same end behavior as f (x) = StartFraction negative 6 x Superscript 5 Baseline minus x cubed + 7 x Over 2 x squared + 1 EndFraction

Which graph has the same end behavior as f (x) = StartFraction negative 6 x Superscript 5 Baseline minus
Which graph has the same end behavior as f (x) = StartFraction negative 6 x Superscript 5 Baseline minus
Which graph has the same end behavior as f (x) = StartFraction negative 6 x Superscript 5 Baseline minus
Which graph has the same end behavior as f (x) = StartFraction negative 6 x Superscript 5 Baseline minus

Answers

The graph with the same end behavior is the one in option C.

Which graph has the same end behavior?

The given function has a numerator with a negative leading coefficient and an odd degree, while the denominator is a quadratic polynomial.

It will mean that as x tends to negative infinity, the function tends to infinity, and as x tends to positive infinity, the function tends to negative infinty, that is the end behavior of the given function.

The graph with that end behavior is the same one than in option C.

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18+ 4(28) use the properites of operations to evaluate this expressions?

Answers

The value of the expression 18 + 4(28) will be 130.

What is the value of the expression?

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expression is given below.

⇒ 18 + 4(28)

Simplify the expression, then the value of the expression will be

⇒ 18 + 4 x (28)

⇒ 18 + 4 x 28

⇒ 18 + 112

⇒ 130

Thus, the value of the expression 18 + 4(28) will be 130.

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Select the correct answer from each drop-down menu.

The total area of the three triangles is
square units.
The area of the figure is
square units.

Answers

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

What is the triangle?

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Select the correct answer from each drop-down menu.The total area of the three triangles is square units.The

find the missing value 3/8 equals y over 24 ​

Answers

Answer:

Step-by-step explanation:

find the missing value 3/8 equals y over 24

Which of the following is a true statement?

Which of the following is a true statement?

Answers

Answer:

3

Step-by-step explanation:

It depends on the denominator

For 3 where comparing 16 to 24

Of course its going to be 16

Hope this helps!

Not sure how to do this

Not sure how to do this

Answers

Answer:
Scale factor of 2

Explanation:
I compared the lengths of AC to DF. AC is one unit long, whereas DF is two units long, so DF is dilated by a scale factor of 2.

The new owners of Bluegrass Natural Foods, Inc., have hired you to help them diagnose and cure problems that the company has had in maintaining adequate liquidity. As a first step, you perform a liquidity analysis. You then do an analysis of the company’s short-term activity ratios. 3
Your calculations and appropriate industry norms are listed.
Current ratio bluegrass 4.5 industry norms 4.0
Quick ratio bluegrass 2 industry norms 3.1
Inventory turnover bluegrass 6 industry norms 10.4
Average collection period bluegrass 73 days industry norms 52 days
Average payment period bluegrass 31 days industry norms 40 days

a. What recommendations relative to the amount and the handling of inventory could you make
to the new owners?
b. What recommendations relative to the amount and the handling of accounts receivable could
you make to the new owners?
c. What recommendations relative to the amount and the handling of accounts payable could you
make to the new owners?

Answers

Answer:

I don't understand make is more simplify

Select the correct answer.
A drugstore sells vitamins in bottles with different pill counts. The price of each bottle is shown in the table below.
Price
Number of
Pills
50
100
150
$1.85
$3.70
$5.55
$7.40
$9.25
200
250
About how much does one vitamin cost?
$1.85
$0.37
$0.92
$0.04
$0.02

Answers

Answer:

Step-by-step explanation:

Select the correct answer.A drugstore sells vitamins in bottles with different pill counts. The price

The approximate cost of one vitamin is $0.04 thus option (A) is correct.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given number of pills and cost.

The cost per pill from the first raw = $2.05/50 = $0.041

The cost per pill from the second raw = $4.10/100 = $0.041

The cost per pill remains constant in all so this is a direct proportion.

Hence "The approximate cost of one vitamin is $0.04".

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The complete structured question is below,

Select the correct answer.A drugstore sells vitamins in bottles with different pill counts. The price

simplifying the expression 5/6÷3/6×3/5 gives​

Answers

Answer:

Hope this helped you

Step-by-step explanation:

5/6 ÷ 3/6 = 5/6 × 6/3 = 5/3

5/3 × 3/5 = 1

5/6÷3/6x3/5

0.83÷0.50x0.60

0.83÷0.30

ANSWER: 2.767

I tried to make it as easy as possible!

pls mark brainliest!

Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line.
x y
9 7.38
9 6.75
12 13.08
9 7.42
11 7.56
13 8.53
7 5.93
4 5.33
12 8.1
6 6.46
5 5.44

Answers

According to the data provided, the regression line equation is given by

y=2.83+0.52x.  The non-linear characteristics of data is ignored by the regression line.

What do you mean by regression line?

The most popular statistical method for simulating a link between two sets of variables is linear regression. As a result, a linear regression equation that can be applied to data is created.

What is the formula to calculate the line regression?

The required formula is:

\(y= a + b_{yx}x\)

\(b_{yx} = \frac {n \sum xy - \sum x \sum y}{n \sum x ^ {2} - (\sum x) ^ {2}}\)

\(a = \bar y - b_{yx} \bar x\)

\(\bar x = 8.81 \\\bar y = 7.45\\\sum x ^ {2} =947\\\sum xy = 770.95\)

\(b_{yx} = 0.52\)

\(a=2.83\)

y=2.83+0.52x .

In scatter plot, Non-linear characteristics is ignored by the regression line.

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To evaluate whether customers enjoy the barista’s new smoothie, a restaurant manager surveys every other customer who orders the new smoothie. The manager determines that customers enjoy the new smoothie. Select all the statements that are true about the sampling method.

Answers

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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bonsoir pouvez vous m'aidez

bonsoir pouvez vous m'aidez

Answers

Answer:

Treatment for HIV/AIDS involves taking highly effective medicines called antiretroviral therapy (ART) that work to control the virus [1][2]. ART involves taking a combination of HIV medicines (called an HIV regimen) to suppress the virus and stop the progression of the disease [1]. The goal of treatment is to reduce the amount of HIV in the body and keep it at a low, undetectable level to help prevent further damage to the immune system and reduce the risk of transmitting HIV to others.

mr peters drives 266 miles in 3.5 hours what is the rate mr peters travels

Answers

Answer:

The answer is 76

Step-by-step explanation:

I just divided 266 by 3.5  - *I used a calculator*

Usain Bolt set the world record for sprinting 100 m in approximately 9 3/5 seconds. Find his average speed in meters per second.

Answers

Let's find the seconds as an improper fraction:

\(9\frac{3}{5}=9+\frac{3}{5}=\frac{9\times5}{5}+\frac{3}{5}=\frac{48}{5}=9.6\)

He ran 100 meters in 48/5 seconds or 9.6 seconds. To find the speed in meters per second we have to divide the distance (in meters) by the time (in seconds):

\(\text{speed}=\frac{100m}{\frac{48}{5}s}=\frac{5\times100m}{48s}=\frac{125}{12}\approx10.41\bar{6}\)

The average speed is 125/12 m/s (or 10.42 m/s, rounded to the nearest hundredth)

In mixed numbers the speed is 10 5/12 m/s

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Write with fractional exponents. (Do not use parentheses.)

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down,

Answers

Answer:

4\(y^{\frac{3}{2} }\)

Step-by-step explanation:

using the rule of exponents/ radicals

\(\sqrt[n]{a^{m} }\) = \(a^{\frac{m}{n} }\)

then

4 \(\sqrt{y^{3} }\)

= 4\(y^{\frac{3}{2} }\)

how many ft is equal to 1.66m

Answers

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

Which of the following shows only multiples of 12

Answers

Answer:

there is no following

Step-by-step explanation:

Answer: 12,24,36,48,60,72,84,96,108,120,132,144

Step-by-step explanation:

Hope this helps. Could not see the image attached.

Ghana van company invested P45 700 for two years at a rate of 12%per annum compounded for quarter year. Work out the compound interest over the two years

Answers

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$45700\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &2 \end{cases}\)

\(A = 45700\left(1+\frac{0.12}{4}\right)^{4\cdot 2}\implies A=45700(1.03)^8 \implies A \approx 57891.39 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{earned interest}}{57891.39~~ - ~~45700} ~~ \approx ~~ \text{\LARGE 12191.39}\)

A farmer can buy two types of plant​ food, mix A and mix B. Each cubic yard of mix A contains 35 pounds of phosphoric​ acid, 15 pounds of​ nitrogen, and 16 pounds of potash. Each cubic yard of mix B contains 14 pounds of phosphoric​ acid, 18 pounds of​ nitrogen, and 64 pounds of potash. The minimum monthly requirements are 840 pounds of phosphoric​ acid, 540 pounds of​ nitrogen, and 768 pounds of potash. If x is the number of cubic yards of mix A used and y is the number of cubic yards of mix B​ used, write a system of linear inequalities that indicates appropriate restraints on x and y. Find the set of feasible solutions graphically for the amounts of mix A and mix B that can be used.

Answers

Answer:

The answer is below

Step-by-step explanation:

Given that the minimum monthly requirements are 840 pounds of phosphoric​ acid, hence:

35 pounds of phosphoric acid mix A + 14 pounds of phosphoric acid mix B ≥ 840 pounds of phosphoric​ acid

35x + 14y ≥ 840

The minimum monthly requirements are 540 pounds of nitrogen, hence:

15 pounds of nitrogen mix A + 18 pounds of nitrogen mix B ≥ 540 pounds of nitrogen

15x + 18y ≥ 540

The minimum monthly requirements are 768 pounds of potash, hence:

16 pounds of potash mix A + 64 pounds of potash mix B ≥ 768 pounds of potash

16x + 64y ≥ 768

Also, x ≥ 0 and y ≥0.

Therefore the equations are:

35x + 14y ≥ 840

15x + 18y ≥ 540

16x + 64y ≥ 768

x ≥ 0 and y ≥ 0

Plotting with geogebra gives the graph below.

The point are (0,60), (48,0), (18,15), (32,4)

A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 35 pounds

y=6/7x+11/7 in standard form

Answers

Answer:

6x-

7y

=

-11

6x-7y=-11

A rectangular park is 70 meters wide and 100 meters long.
Give the length and width of another rectangular park that has the same perimeter but a smaller area.

Answers

9514 1404 393

Answer:

  60 m wide and 110 m long

Step-by-step explanation:

The more the shape deviates from a square, the smaller the area will be. The area can be reduced by making the park longer and narrower. The sum of length and width must remain the same for the perimeter to be unchanged.

Given park: 70 m × 100 m = 7000 m²

Smaller park: 60 m × 110 m = 6600 m² -- less area than 7000 m²

Amadi has jar with one dollar and two dollar coins in it.

There are coins in total.

A jar of one and two dollar coins.

The ratio of one dollar coins to two dollar coins is .

How many coins are two dollar coins

Answers

Without knowing the total number of coins or the ratio between one dollar and two dollar coins in the jar, we cannot accurately determine the number of two dollar coins.

Amadi has a jar with both one dollar and two dollar coins. The question is asking how many of the coins in the jar are two dollar coins.
To determine the number of two dollar coins, we need more information. The question does not provide any details about the total number of coins or the ratio between one dollar and two dollar coins in the jar. Without this information, it is not possible to give an accurate answer.
If we assume that the jar contains a total of 100 coins, we can use algebra to solve for the number of two dollar coins.

Let's say the number of two dollar coins is x. Then, the number of one dollar coins would be 100 - x.
Since the value of the two dollar coins is double the value of the one dollar coins, we can set up the equation 2x + 1(100 - x) = total value of coins.
Simplifying the equation, we get 2x + 100 - x = total value of coins.
Combining like terms, we have x + 100 = total value of coins.
Since we don't know the total value of coins, we cannot solve for x. Therefore, we cannot determine the number of two dollar coins without additional information.

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Suppose that IQ scores in one region are normally distributed with a standard deviation of 14. Suppose also that exactly 58% of the individuals from this region have IQ scores of greater than 100 (and that 42% do not). What is the mean IQ score for this region?

Answers

Suppose that IQ scores in one region are normally distributed with a standard deviation of 14.  the mean IQ score for this region is 97.2.

How to find the mean IQ score ?

z =(x-mean)/standard deviation

58th percentile is a z-score of 0.202

Hence,

0.202=(100-mean)/14

2.828=100-mean

Multiplying through by 14

Mean IQ score = 100- 2.828

Mean IQ score =97.17

Mean IQ score =97.2 (Approximately)

Therefore the mean IQ score for this region is 97.2 .

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Find the slope of the line. Describe how one variable changes in relation to the other. A. 2; distance increases by 2 miles per hour B. 2; distance decreases by 2 miles per hour C. 1/2; distance increases by 1 mile every 2 hours D. 1/2; distance decreases by 1 mile every 2 hours

Answers

The line's slope is \(\frac{1}{2}\) and the distance increases by 1 mile every 2 hours.

What is a good example of a line's slope?

The proportion of the increase in the y-value to the increase in the x-value may also be used to determine slope. For instance: We can get the slope of a line given two locations, P = (0, -1) & Q = (4,1) on the line.

A. Since the line's slope is 2, it follows that the y-variable, which is most likely distance, grows by 2 units for every increment in the x-variable, which is most likely time. The accurate statement is thus: speed is increased by Two miles per hour.

B. Since the line's slope is 2, it follows that the y-variable will drop by 2 units for every unit rise in the x-variable, which is most likely time. The accurate description is thus: speed drops by Two miles per hour.

C. If the line's slope is 1/2, the y-variable will rise by 1/2 unit for every increment in the x-variable, which is probably time. The precise description is that the distance grows by a mile every two hours.

D. If indeed the line's slope is 1/2, the y-variable will drop by 1/2 unit for every unit rise in the x-variable, which is probably time. The precise description is: distance shrinks by a mile every two hours.

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For which equation would x = 12 be a solution?x - 12 = 12x - 24 = 12x - 14 = 2x - 5 = 7

Answers

Explanation

We are required to solve each equation till we arrive at the one that satisfies the "x=12" question.

First equation:

\(\begin{gathered} x-12=12 \\ Collect\text{ like terms} \\ x=12+12 \\ x=24 \end{gathered}\)

Second equation:

\(\begin{gathered} x-24=12 \\ Collect\text{ like terms} \\ x=12+24 \\ x=36 \end{gathered}\)

Third equation:

\(\begin{gathered} x-14=2 \\ Collect\text{ like terms} \\ x=2+14 \\ x=16 \end{gathered}\)

Last equation:

\(\begin{gathered} x-5=7 \\ Collect\text{ like terms} \\ x=7+5 \\ x=12 \end{gathered}\)

Hence, the last equation is the solution.

A(-3,-2), B(12, 3); 3 to 2

Answers

Answer:

  (6, 1)

Step-by-step explanation:

The formula for dividing segment AB into parts in the ratio M:N is ...

  P = (M·B +N·A)/(M+N)

Application

Using the above formula with the given values, we have ...

  P = (3(12, 3) +2(-3, -2))/5 = (36 -6, 9 -4)/5 = (30, 5)/5

  P = (6, 1)

The point P that divides segment AB into parts in the proportion 3:2 is ...

  P = (6, 1)

A(-3,-2), B(12, 3); 3 to 2

Can someone please help me please?

Can someone please help me please?

Answers

Answer:

rnmrqrgwbten3yn3unnu4

What is the sum of 5x squared -12x +2

Answers

The correct answer would be 2.2198 or 2.22 rounded up :)

The steps below show the work of a student used to calculate the number of yards in 804.5 meters.

(1 mile = 1,609 meters)
(1 mile = 1,760 yards)

Step 1: 1,609 meters is being multiplied by conversion factor 1 mile over 804.5 meters equals 2 miles

Step 2: 2 miles is being multiplied by conversion factor 1760 yards over 1 mile equals 3,520 yards

Step 3: 3,520 yards
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)

How can the error in the student's work be corrected? NEEDS SUBMITTING TODAY PLZ HELP ASAP

Answers

Answer:

see below

Step-by-step explanation:

804.5 meters. to yards

Step 1:

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)

1,609 meters is being multiplied by conversion factor 1 mile over 804.5 meters equals 2 miles

 1,609 meter    x        1 mile         =   2 miles

                               804.5 meters                                        

Step 2:

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)

2 miles is being multiplied by conversion factor 1760 yards over 1 mile equals 3,520 yards

2 miles   x  1,760 yards   =   3,520 yards

                        1 mile

no need of step 3.  the conversion  below should be on step 2.

to convert miles into yards.

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)  

Answer:

how do ppl do this lol...

Step-by-step explanation:

a father is four times as old as the sun in 10 years time the father will be twice as old as the son .if the father is 20years and son is 5 years currently, how old will the father be 29 years from now?​

Answers

29 years from now, the father will be 49 years old.

Let's start by setting up the given information:

Currently, the father is 20 years old, and the son is 5 years old.

In 10 years, the father will be twice as old as the son.

The father is currently four times as old as the son.

Determine the age of the father and son in 10 years:

In 10 years, the father's age will be 20 + 10 = 30 years.

In 10 years, the son's age will be 5 + 10 = 15 years.

Write equations based on the given information:

The father's age in 10 years will be twice the son's age in 10 years: 30 = 2 × 15.

The father's current age is four times the son's current age: 20 = 4 × 5.

Solve the equations:

From the second equation, we find that the son's current age is 5 years.

Plugging this value into the first equation, we get: 30 = 2 × (5 + 10).

Simplifying further, we have: 30 = 2 × 15, which is true.

Determine the current age of the son in 29 years:

The son's current age is 5 years.

Adding 29 years to the son's current age, we find that the son will be 5 + 29 = 34 years old.

Determine the current age of the father in 29 years:

The father's current age is 20 years.

Adding 29 years to the father's current age, we find that the father will be 20 + 29 = 49 years old.

Therefore, 29 years from now, the father will be 49 years old.

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